Date: Mar 19, 2000 8:29 AM
Author: Antreas P. Hatzipolakis
Subject: Re: [HM] L'Hopital, Pythagoras, Ptolemy and Hilbert
Andrew Bowering wrote (in part):
> I am in my final year of a degree course in Mathematics and in need of
> big help. I have noticed the wealth of knowledge out there amongst
> you but now I need to tap into this knowledge. Firstly I need some
> examples of results which are not named after the people who derived
> them - ie - L'Hopital's rule, found by his tutor Johann Bernoulli.
Following are a few examples from Euclidean Geometry:
1. Apollonian Circle:
This circle as locus-proposition appeared first in Aristotle, Meteor. III.
5.375b16 - 376b12
Thomas Heath: Mathematics in Aristotle.
Bristol: Thoemmes Press, 1998, pp. 181ff.
2. On the Lemoine Point a.k.a. Grebe Point:
See the HM thred "Grebe":
3. On the Feuerbach Circle a.k.a. Euler Circle:
See the HM thread "Benjamin Bevan's Problem":